{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sparse Autoencoder\n",
    "\n",
    "當在訓練一個普通的 `autoenoder` 時，如果嘗試丟入一些輸入，會看到中間許多的神經元 (hidden unit) 大部分都會有所反應 (activate)．反應的意思是這個神經元的輸出不會等於零，也不會很接近零，而是大於零許多．白話的意思就是神經元說：「咦！這個輸入我認識噢～」\n",
    "\n",
    "然而我們是不想要看到這樣的情形的！我們想要看到的情形是每個神經元只對一些些訓練輸入有反應．例如手寫數字 0-9，那神經元 A 只對數字 5 有反應，神經元 B 只對 7 有反應 ... 等．為什麼要這樣的結果呢？在 [Quora](https://www.quora.com/Why-are-sparse-autoencoders-sparse) 上面有一個解說是這樣的\n",
    "\n",
    "> 如果一個人可以做 A, B, C ... 許多的工作，那他就不太可能是 A 工作的專家，或是 B 工作的專家．\n",
    "> 如果一個神經元對於每個不同的訓練都會有反應，那有它沒它好像沒有什麼差別\n",
    "\n",
    "所以接下來要做的事情就是加上稀疏的限制條件 (sparse constraint)，來訓練出 `Sparse Autoencoder`．而要在哪裡加上這個限制呢？就是要在 loss 函數中做手腳．在這裡我們會加上兩個項，分別是：\n",
    "\n",
    "* Sparsity Regularization\n",
    "* L2 Regularization\n",
    "\n",
    "## Sparsity Regularization\n",
    "\n",
    "這一項我們想要做的事就是讓 autoencoder 中每個神經元的輸出變小，而實際上的做法則是如下\n",
    "**先設定一個值，然後讓平均神經元輸出值 (average output activation vlue) 越接近它越好，如果偏離這個值，cost 函數就會變大，達到懲罰的效果**\n",
    "\n",
    "$$\n",
    "\\hat{\\rho_{i}} = \\frac{1}{n} \\sum_{j = 1}^{n} h(w_{i}^{T}  x_{j} + b_{i}) \\\\\n",
    "\\hat{\\rho_{i}} : \\text{ average output activation value of a neuron i} \\\\\n",
    "n: \\text{ total number of training examples} \\\\\n",
    "x_{j}: \\text{jth training example} \\\\\n",
    "w_{i}^{T}: \\text{ith row of  the weight matrix W} \\\\\n",
    "b_{i}: \\text{ith entropy of the bias vector} \\\\\n",
    "$$\n",
    "\n",
    "### Kullback-Leibler divergence (relative entropy)\n",
    "\n",
    "$$\n",
    "\\Omega_{sparsity} = \\sum_{i=1}^{D}\\rho\\log(\\frac{\\rho}{\\hat{\\rho_{i}}})+(1-\\rho)\\log(\\frac{1-\\rho}{1-\\hat{\\rho_{i}}}) \\\\\n",
    "\\hat{\\rho_{i}} : \\text{ average output activation value of a neuron i}\n",
    "$$\n",
    "\n",
    "Kullback-Leibler divergence 是用來計算兩個機率分佈接近的程度，如果兩個一樣的話就為 0．我們可以看以下的例子，設定值 rho_hat 為 0.2，而 rho 等於 0.2 的時候 kl_div = 0，rho 等於其他值時 kl_div 大於 0．\n",
    "\n",
    "而在實例上，就讓 rho 以 average output activation 取代．\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Extracting MNIST_data/train-images-idx3-ubyte.gz\n",
      "Extracting MNIST_data/train-labels-idx1-ubyte.gz\n",
      "Extracting MNIST_data/t10k-images-idx3-ubyte.gz\n",
      "Extracting MNIST_data/t10k-labels-idx1-ubyte.gz\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7fcf9eed7950>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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61RIDiCQNcCnlu1h22w123BEefzzfSvvEE7Z4qO9UTQCJiJMj4h8R8VZETIqI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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcfa4132510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import tensorflow as tf\n",
    "import matplotlib.pyplot as plt\n",
    "from tensorflow.examples.tutorials.mnist import input_data\n",
    "mnist = input_data.read_data_sets(\"MNIST_data/\", one_hot = True)\n",
    "\n",
    "rho_hat = np.linspace(0 + 1e-2, 1 - 1e-2, 100)\n",
    "rho = 0.2\n",
    "kl_div = rho * np.log(rho/rho_hat) + (1 - rho) * np.log((1 - rho) / (1 - rho_hat))\n",
    "plt.plot(rho_hat, kl_div)\n",
    "plt.xlabel(\"rho_hat\")\n",
    "plt.ylabel(\"kl_div\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### L2 Regularization\n",
    "經過了 Sparsity Regularization 這一項，理想上神經元輸出會接近我們所設定的值．而這裡想要達到的目標就是讓 weight 盡量的變小，讓整個模型變得比較簡單，而不是 weight 變大，使得 bias 要變得很大來修正．\n",
    "$$\n",
    "\\Omega_{weights} = \\frac{1}{2}\\sum_{l}^{L}\\sum_{j}^{n}\\sum_{i}^{k}(w_{ji}^{(l)})^{2} \\\\\n",
    "L : \\text{number of the hidden layers} \\\\\n",
    "n : \\text{number of observations} \\\\\n",
    "k : \\text{number of variables in training data}\n",
    "$$\n",
    "\n",
    "### cost 函數\n",
    "\n",
    "cost 函數就是把這幾項全部加起來，來 minimize 它．\n",
    "\n",
    "$$\n",
    "E = \\Omega_{mse} + \\beta * \\Omega_{sparsity} + \\lambda * \\Omega_{weights}\n",
    "$$\n",
    "\n",
    "在 tensorflow 裡面有現成的函數 `tf.nn.l2_loss` 可以使用，把單一層的 l2_loss 計算出來，舉個例子，如果有兩層隱層權重 `w1`, `w2`，則要把兩個加總：`tf.nn.l2_loss(w1) + tf.nn.l2_loss(w2)`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def weight_variable(shape, name):\n",
    "    return tf.Variable(tf.truncated_normal(shape = shape, stddev = 0.1), name)\n",
    "def bias_variable(shape, name):\n",
    "    return tf.Variable(tf.zeros(shape = shape), name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_n_reconstruct(origin_img, reconstruct_img, n = 10):\n",
    "\n",
    "    plt.figure(figsize=(2 * 10, 4))\n",
    "\n",
    "    for i in range(n):\n",
    "        # display original\n",
    "        ax = plt.subplot(2, n, i + 1)\n",
    "        plt.imshow(origin_img[i].reshape(28, 28))\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "\n",
    "        # display reconstruction\n",
    "        ax = plt.subplot(2, n, i + 1 + n)\n",
    "        plt.imshow(reconstruct_img[i].reshape(28, 28))\n",
    "        plt.gray()\n",
    "        ax.get_xaxis().set_visible(False)\n",
    "        ax.get_yaxis().set_visible(False)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 實作\n",
    "我們會先建立一個一般的 autoencoder，之後再建立一個 sparse autoencoder，並比較它輸出的影像以及 average activation output value．\n",
    "### Normal Autoencoder\n",
    "建立 784 -> 300 -> 30 -> 300 -> 784 Autoencoder，"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def build_sae():\n",
    "    W_e_1 = weight_variable([784, 300], \"w_e_1\")\n",
    "    b_e_1 = bias_variable([300], \"b_e_1\")\n",
    "    h_e_1 = tf.nn.sigmoid(tf.add(tf.matmul(x, W_e_1), b_e_1))\n",
    "\n",
    "    W_e_2 = weight_variable([300, 30], \"w_e_2\")\n",
    "    b_e_2 = bias_variable([30], \"b_e_2\")\n",
    "    h_e_2 = tf.nn.sigmoid(tf.add(tf.matmul(h_e_1, W_e_2), b_e_2))\n",
    "\n",
    "    W_d_1 = weight_variable([30, 300], \"w_d_1\")\n",
    "    b_d_1 = bias_variable([300], \"b_d_1\")\n",
    "    h_d_1 = tf.nn.sigmoid(tf.add(tf.matmul(h_e_2, W_d_1), b_d_1))\n",
    "\n",
    "    W_d_2 = weight_variable([300, 784], \"w_d_2\")\n",
    "    b_d_2 = bias_variable([784], \"b_d_2\")\n",
    "    h_d_2 = tf.nn.sigmoid(tf.add(tf.matmul(h_d_1, W_d_2), b_d_2))\n",
    "    \n",
    "    return [h_e_1, h_e_2], [W_e_1, W_e_2, W_d_1, W_d_2], h_d_2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0, loss 0.261328\n",
      "step 100, loss 0.0668037\n",
      "step 200, loss 0.0556549\n",
      "step 300, loss 0.0601463\n",
      "step 400, loss 0.0533607\n",
      "step 500, loss 0.0471783\n",
      "step 600, loss 0.0411026\n",
      "step 700, loss 0.035155\n",
      "step 800, loss 0.0339428\n",
      "step 900, loss 0.0282643\n",
      "step 1000, loss 0.029779\n",
      "step 1100, loss 0.0269303\n",
      "step 1200, loss 0.0253905\n",
      "step 1300, loss 0.026927\n",
      "step 1400, loss 0.0223757\n",
      "step 2000, loss 0.0222608\n",
      "step 3000, loss 0.0145288\n",
      "step 4000, loss 0.0147411\n",
      "step 5000, loss 0.0142414\n",
      "step 6000, loss 0.0126185\n",
      "step 7000, loss 0.0107994\n",
      "step 8000, loss 0.0106894\n",
      "step 9000, loss 0.0121361\n",
      "step 10000, loss 0.0126073\n",
      "step 11000, loss 0.0114935\n",
      "step 12000, loss 0.00952163\n",
      "step 13000, loss 0.0110226\n",
      "step 14000, loss 0.0113799\n",
      "step 15000, loss 0.0088239\n",
      "step 16000, loss 0.0102227\n",
      "step 17000, loss 0.0109529\n",
      "step 18000, loss 0.0104999\n",
      "step 19000, loss 0.0106634\n",
      "final loss 0.0102131\n"
     ]
    }
   ],
   "source": [
    "tf.reset_default_graph()\n",
    "sess = tf.InteractiveSession()\n",
    "x = tf.placeholder(tf.float32, shape = [None, 784])\n",
    "h, w, x_reconstruct = build_sae()\n",
    "\n",
    "loss = tf.reduce_mean(tf.pow(x_reconstruct - x, 2))\n",
    "optimizer = tf.train.AdamOptimizer(0.01).minimize(loss)\n",
    "init_op = tf.global_variables_initializer()\n",
    "\n",
    "sess.run(init_op)\n",
    "\n",
    "for i in range(20000):\n",
    "    batch = mnist.train.next_batch(60)\n",
    "    if i < 1500:\n",
    "        if i%100 == 0:\n",
    "            print(\"step %d, loss %g\"%(i, loss.eval(feed_dict={x:batch[0]})))\n",
    "    else:\n",
    "        if i%1000 == 0: \n",
    "            print(\"step %d, loss %g\"%(i, loss.eval(feed_dict={x:batch[0]})))\n",
    "    optimizer.run(feed_dict={x: batch[0]})\n",
    "print(\"final loss %g\" % loss.eval(feed_dict={x: mnist.test.images}))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### average output activation value\n",
    "印出 encoder 中第一層以及第二層的 `average output activation value`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "average output activation value 0.223044\n",
      "average output activation value 0.372151\n"
     ]
    }
   ],
   "source": [
    "for h_i in h:\n",
    "    print(\"average output activation value %g\" % tf.reduce_mean(h_i).eval(feed_dict={x: mnist.test.images}))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4qpSLxcITDDmnF9I9bPmV6NuB7PnQXm+sMuCbnZuNDnQtFgsMBgO0223c39/j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SqCfKjUgq0rzns2Q9xNOnL3frsnc50jrw0SPxeLhTZS9zxP+v2+dLtdabfbUi6XNVYD73+s0fl8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\nx3Ecx3Ecx3kV/j/SUcgNG14SqQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcf9ee10ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_size = 10\n",
    "test_origin_img = mnist.test.images[0:test_size, :]\n",
    "test_reconstruct_img = x_reconstruct.eval(feed_dict = {x: test_origin_img})\n",
    "plot_n_reconstruct(test_origin_img, test_reconstruct_img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sparse Autoencoder\n",
    "### KL divergence function\n",
    "依照公式建立 kl_div 函數"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def kl_div(rho, rho_hat):\n",
    "    invrho = tf.sub(tf.constant(1.), rho)\n",
    "    invrhohat = tf.sub(tf.constant(1.), rho_hat)\n",
    "    logrho = tf.add(logfunc(rho,rho_hat), logfunc(invrho, invrhohat))\n",
    "    return logrho\n",
    "    \n",
    "def logfunc(x, x2):\n",
    "    return tf.mul( x, tf.log(tf.div(x,x2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### loss function\n",
    "把三個 loss 全部加起來，並乘以對應的係數"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0, loss 0.291167\n",
      "step 100, loss 0.076417\n",
      "step 200, loss 0.0612264\n",
      "step 300, loss 0.0583587\n",
      "step 400, loss 0.0563758\n",
      "step 500, loss 0.0529813\n",
      "step 600, loss 0.046916\n",
      "step 700, loss 0.0482076\n",
      "step 800, loss 0.0456496\n",
      "step 900, loss 0.0431564\n",
      "step 1000, loss 0.0435454\n",
      "step 1100, loss 0.0387787\n",
      "step 1200, loss 0.0409411\n",
      "step 1300, loss 0.0402909\n",
      "step 1400, loss 0.0389212\n",
      "step 2000, loss 0.0401633\n",
      "step 3000, loss 0.038092\n",
      "step 4000, loss 0.0353613\n",
      "step 5000, loss 0.0357929\n",
      "step 6000, loss 0.0350644\n",
      "step 7000, loss 0.0365562\n",
      "step 8000, loss 0.0383229\n",
      "step 9000, loss 0.0375741\n",
      "step 10000, loss 0.0380063\n",
      "step 11000, loss 0.0364174\n",
      "step 12000, loss 0.0376087\n",
      "step 13000, loss 0.0354256\n",
      "step 14000, loss 0.0347151\n",
      "step 15000, loss 0.0372976\n",
      "step 16000, loss 0.0369707\n",
      "step 17000, loss 0.0356938\n",
      "step 18000, loss 0.0360995\n",
      "step 19000, loss 0.0344233\n",
      "final loss 0.035359\n"
     ]
    }
   ],
   "source": [
    "tf.reset_default_graph()\n",
    "sess = tf.InteractiveSession()\n",
    "x = tf.placeholder(tf.float32, shape = [None, 784])\n",
    "h, w, x_reconstruct = build_sae()\n",
    "\n",
    "alpha = 5e-6\n",
    "beta = 7.5e-5\n",
    "kl_div_loss = reduce(lambda x, y: x + y, map(lambda x: tf.reduce_sum(kl_div(0.02, tf.reduce_mean(x,0))), h))\n",
    "#kl_div_loss = tf.reduce_sum(kl_div(0.02, tf.reduce_mean(h[0],0)))\n",
    "l2_loss = reduce(lambda x, y: x + y, map(lambda x: tf.nn.l2_loss(x), w))\n",
    "\n",
    "loss = tf.reduce_mean(tf.pow(x_reconstruct - x, 2)) + alpha * l2_loss + beta * kl_div_loss\n",
    "optimizer = tf.train.AdamOptimizer(0.01).minimize(loss)\n",
    "init_op = tf.global_variables_initializer()\n",
    "\n",
    "sess.run(init_op)\n",
    "\n",
    "for i in range(20000):\n",
    "    batch = mnist.train.next_batch(60)\n",
    "    if i < 1500:\n",
    "        if i%100 == 0:\n",
    "            print(\"step %d, loss %g\"%(i, loss.eval(feed_dict={x:batch[0]})))\n",
    "    else:\n",
    "        if i%1000 == 0: \n",
    "            print(\"step %d, loss %g\"%(i, loss.eval(feed_dict={x:batch[0]})))\n",
    "    optimizer.run(feed_dict={x: batch[0]})\n",
    "    \n",
    "print(\"final loss %g\" % loss.eval(feed_dict={x: mnist.test.images}))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### average output activation value\n",
    "印出 encoder 中第一層以及第二層的 `average output activation value`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "average output activation value 0.0513545\n",
      "average output activation value 0.389197\n"
     ]
    }
   ],
   "source": [
    "for h_i in h:\n",
    "    print(\"average output activation value %g\" % tf.reduce_mean(h_i).eval(feed_dict={x: mnist.test.images}))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4qpSLxcITDDmnF9I9bPmV6NuB7PnQXm+sMuCbnZuNDnQtFgsMBgO0223c39/j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Ngix43qzjITu5BRN4UeUhl3fP5/MGUNEM9xKgqw5pZvMNjd5y36xTeY3PWWBCbR3lda56QHCX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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fcf99331690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_size = 10\n",
    "test_origin_img = mnist.test.images[0:test_size, :]\n",
    "test_reconstruct_img = x_reconstruct.eval(feed_dict = {x: test_origin_img})\n",
    "plot_n_reconstruct(test_origin_img, test_reconstruct_img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "圖片結果可以看到它和普通的 autoencoder 差不多，但是稍微糊了一點，而第一層的 average output activation value 從 0.19 降到了 0.05，第二層的值反而上升了一點點．這個部分的調整跟 hyperparameter 有很大的關係，如果我把 beta 調大，第一第二層的 average output activation value 會接近 0.02，但是輸出的圖像會變模糊．`beta = 7.5e-5` 是我試了幾次以後比較平衡兩者的結果．\n",
    "\n",
    "## 小結\n",
    "\n",
    "我們實現了 KL Divergence 以及 L2 loss，並把這兩個項加入了 loss，成為了 sparse autoencoder．最後的結果會看到 average output activation value 是有明顯下降的．\n",
    "\n",
    "而整個過程需要花比較多時間的地方是在 hyperparameter 的調整，調太大或者調太小，都會沒辦法達到預期的效果．\n",
    "\n",
    "#### 問題\n",
    "\n",
    "* 如果改用 L1 loss 的結果?\n",
    "* 有沒有更好的方法來決定 hyperparameter?\n",
    "* 這裡的 activation function 都是 sigmoid，如果用 ReLU?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 學習資源連結\n",
    "\n",
    "* [Matlab Autoencoder Doc](https://www.mathworks.com/help/nnet/ref/trainautoencoder.html#buythqy)\n",
    "* [Sparse Autoencoder in Keras](https://blog.keras.io/building-autoencoders-in-keras.html)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
